Showing papers by "Rafael I. Nepomechie published in 2003"
TL;DR: In this paper, the functional relations which result from the truncation of the fusion hierarchy are solved for the closed and open XXZ quantum spin chains with U(1) symmetry.
Abstract: There is an approach due to Bazhanov and Reshetikhin for solving integrable RSOS models which consists of solving the functional relations which result from the truncation of the fusion hierarchy. We demonstrate that this is also an effective means of solving integrable vertex models. Indeed, we use this method to recover the known Bethe Ansatz solutions of both the closed and open XXZ quantum spin chains with U(1) symmetry. Moreover, since this method does not rely on the existence of a pseudovacuum state, we also use this method to solve a special case of the open XXZ chain with nondiagonal boundary terms.
170 citations
TL;DR: A Bethe Ansatz solution of the open spin- XXZ quantum spin chain with nondiagonal boundary terms has been proposed in this article, which can yield the complete set of eigenvalues for generic values of the bulk and boundary parameters satisfying one linear relation.
Abstract: A Bethe Ansatz solution of the open spin- XXZ quantum spin chain with nondiagonal boundary terms has recently been proposed. Using a numerical procedure developed by McCoy et al, we find significant evidence that this solution can yield the complete set of eigenvalues for generic values of the bulk and boundary parameters satisfying one linear relation. Moreover, our results suggest that this solution is practical for investigating the ground state of this model in the thermodynamic limit.
147 citations